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Finding the Fourth Proportional to 140,465.58, 210,599.93 and 51,707.57

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Solution

The fourth proportional to 140,465.58, 210,599.93 and 51,707.57 is: 77,525.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,465.58 : 210,599.93 = 51,707.57 : x
  2. Step 2: Convert to fraction form
    140,465.58/210,599.93 = 51,707.57/x
  3. Step 3: Cross multiply
    140,465.58x = 210,599.93 × 51,707.57
  4. Step 4: Simplify right side
    140,465.58x = 10,889,609,698.74
  5. Step 5: Solve for x
    x = 10,889,609,698.74/140,465.58
  6. Step 6: Final answer
    x = 77,525.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.